Finding the Third Proportional to 116,854 and 175,082

Step by Step Solution

1. Step 1: Write the proportion equation
   116,854 : 175,082 = 175,082 : x
2. Step 2: Convert to fraction form
   116,854/175,082 = 175,082/x
3. Step 3: Cross multiply
   116,854x = 175,082 × 175,082
4. Step 4: Simplify right side
   116,854x = 30,653,706,724
5. Step 5: Solve for x
   x = 30,653,706,724/116,854
6. Step 6: Final answer
   x = 262,324.84